10102122000 has 120 divisors (see below), whose sum is σ = 35283407640. Its totient is φ = 2693894400.

The previous prime is 10102121987. The next prime is 10102122059. The reversal of 10102122000 is 22120101.

10102122000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 1526621184 + 8575500816 = 39072^2 + 92604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262615 + ... + 298614.

It is an arithmetic number, because the mean of its divisors is an integer number (294028397).

Almost surely, 2^10102122000 is an apocalyptic number.

10102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122000 is an abundant number, since it is smaller than the sum of its proper divisors (25181285640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102122000 is a wasteful number, since it uses less digits than its factorization.

10102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561258 (or 561239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102122000 its reverse (22120101), we get a palindrome (10124242101).

The spelling of 10102122000 in words is "ten billion, one hundred two million, one hundred twenty-two thousand".